In 1856, Hamiltonian introduced the Hamiltonian Graph where a Graph which is covered all the vertices without repetition and end with starting vertex. In this paper I would like to prove that every Complete Graph ‘G’ having n ≥ 5 vertices, such that n is odd. If for all pairs of nonadjacent vertices u, v one has du + dv ≥ n − 2, then G has a Hamiltonian path. Topics: Graph, Complete Graph, Bipartite Graph Hamiltonian Graph
GRAPH DATABASESDiscover how graph databases can help you manage and query highly connected data. With this practical book, you'll learn how to design and implement a graph database that brings the power of graphs to bear on a broad range of problem domains. Whether you want to speed up your response to user queries or build a database that can adapt as your business evolves, this book shows you how to apply the schema-free graph model to real-world problems.Learn how different organizations are... Topic: GRAPH DATABASES Source: torrent:urn:sha1:26a49fd1c0ae5a57ea909167973d559e8d636413
For the first time, every finite group is represented in the form of a graph in this book. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups. Lecture Notes Collection FreeScience.info ID2062 Obtained from http://fs.gallup.unm.edu//GroupsAsGraphs.pdf http://www.freescience.info/go.php?pagename=books&id=2062 Topics: Graph Theory, "
This program is for drawing graphs of mathematical functions in a coordinate system. Graphs may be added with different color and line styles. Both standard functions and parameter functions are supported. Evaluate a function at an entered point or trace the function with the mouse. You can also add shadings to functions and series of points to the coordinate system. Trendlines may be added to point series, and you can save the coordinate system and everything on it as an image file. You can... Topics: Graph, Business, Engineering, Graphs, graph
A Ph.D. Thesis detailing an algorithm to test whether a Graph is planar and, if so, to extract all possible planar embeddings of the graph in linear time and memory. Topics: Graph Theory, Planar Graph, Planarity Testing, Planarity, Graph
This monograph concentrates on characterizing various multi-spaces including three parts altogether. The first part is on algebraic multi-spaces with structures, such as those of multi-groups, multirings,multi-vector spaces, multi-metric spaces, multi-operation systems andmulti-manifolds, also multi-voltage graphs, multi-embedding of a graph in an n-manifold,· · ·, etc.. Topics: graph, multi-voltage graph, Cayley graph of a multi-group
A Partition Aware Engine framework provides a major increase in compression with respect to all currently known techniques, both on web graphs and on social networks. These improvements make it possible to analyse in main memory significantly larger graphs. Graph partition quality affects the overall performance of parallel graph computation systems. The quality of a graph partition is measured by the balance factor and edge cut ratio. A balanced graph partition with small edge cut ratio is... Topics: Message Processing, Parallel Graph, Graph Partition, Graph Computation.
Design presentation quality graphs for your Web site or presentations. Produces bar graphs, pie charts, area graphs and line graphs. A front-end designer and live previews are included. Add special effects to graphs including animations, background effects, images, annotations and 3D effects. Publishes files for the Internet, Powerpoint or Flash SWF files. Topics: Graph ZX, Business, Office, Presentation, Graph ZX
In this paper we prove that the arbitrary supersubdivisions of paths, disconnected paths, cycles and stars are one modulo N graceful for all positive integers N. Topics: Modulo graceful graph, Smarandache modulo graceful graph
byWhitesides, Sue H., 1946-; Symposium on Graph Drawing (6th : 1998 : Montréal, Québec)
Graph Drawing: 6th International Symposium, GD’ 98 Montréal, Canada, August 13–15, 1998 ProceedingsAuthor: Sue H. Whitesides Published by Springer Berlin Heidelberg ISBN: 978-3-540-65473-5 DOI: 10.1007/3-540-37623-2Table of Contents:Drawing of Two-Dimensional Irregular Meshes Quasi-Upward Planarity Three Approaches to 3D-Orthogonal Box-Drawings Using Graph Layout to Visualize Train Interconnection Data Difference Metrics for Interactive Orthogonal Graph Drawing Algorithms Upward Planarity... Topics: Computer graphics, Graph theory
The Valuative TreeAuthor: Charles Favre, Mattias Jonsso Published by Springer Berlin Heidelberg ISBN: 978-3-540-22984-1 DOI: 10.1007/b100262Table of Contents:Introduction 1. Generalities 2. MacLane’s Method 3. Tree Structures 4. Valuations Through Puiseux Series 5. Topologies 6. The Universal Dual Graph 7. Tree Measures 8. Applications of the Tree Analysis Appendix References Index Errata Errata Errata Errata Errata Topics: Trees (Graph theory), Algorithms
Accompanied with humanity into the 21st century, a highlight trend for developing a science is its overlap and hybrid, and harmoniously with other sciences, which enables one to handle complex systems in the WORLD. This is also for developing mathematics. Topics: combinatorial theory, graph theory
Graphs and Networks: Transfinite and NonstandardAuthor: Armen H. Zemanian Published by Birkhäuser Boston ISBN: 978-0-8176-4292-1 DOI: 10.1007/978-0-8176-8178-4Table of Contents:Some Preliminaries Transfinite Graphs Connectedness, Trees, and Hypergraphs Ordinal Distances in Transfinite Graphs Walk-Based Transfinite Graphs and Networks Hyperreal Currents and Voltages in Transfinite Networks Hyperreal Transients in Transfinite RLC Networks Nonstandard Graphs and Networks Topics: Graph theory, Transfinite numbers